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40220768 = 2572113227
BaseRepresentation
bin1001100101101…
…1100001100000
32210200102112002
42121123201200
540244031033
63554023132
7665604500
oct231334140
983612462
1040220768
1120781505
1211577aa8
138443193
1454ada00
1537e73e8
hex265b860

40220768 has 72 divisors (see below), whose sum is σ = 93337272. Its totient is φ = 17009664.

The previous prime is 40220753. The next prime is 40220771. The reversal of 40220768 is 86702204.

It is a self number, because there is not a number n which added to its sum of digits gives 40220768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177071 + ... + 177297.

It is an arithmetic number, because the mean of its divisors is an integer number (1296351).

Almost surely, 240220768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46668636).

40220768 is an abundant number, since it is smaller than the sum of its proper divisors (53116504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40220768 is a wasteful number, since it uses less digits than its factorization.

40220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 40220768 is about 6341.9845474425. The cubic root of 40220768 is about 342.6232152979.

The spelling of 40220768 in words is "forty million, two hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 196 224 226 227 392 452 454 784 791 904 908 1568 1582 1589 1808 1816 3164 3178 3616 3632 5537 6328 6356 7264 11074 11123 12656 12712 22148 22246 25312 25424 25651 44296 44492 50848 51302 88592 88984 102604 177184 177968 179557 205208 355936 359114 410416 718228 820832 1256899 1436456 2513798 2872912 5027596 5745824 10055192 20110384 40220768